A Rohingya refugee pulls a child as they walk to shore after crossing the Bangladesh-Myanmar border by boat on Sunday.
Photograph: Danish Siddiqui/Reuters

Myanmar’s treatment of its Muslim Rohingya minority appears to be a “textbook example” of ethnic cleansing, the top United Nations human rights official has said.

In an address to the UN human rights council in Geneva, Zeid Ra’ad Al Hussein denounced the “brutal security operation” against the Rohingya in Rakhine state, which he said was “clearly disproportionate” to insurgent attacks carried out last month.

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More than 310,000 people have fled to Bangladesh in recent weeks, with more trapped on the border, amid reports of the burning of villages and extrajudicial killings.

“I call on the government to end its current cruel military operation, with accountability for all violations that have occurred, and to reverse the pattern of severe and widespread discrimination against the Rohingya population,” Hussein said. “The situation seems a textbook example of ethnic cleansing.”

With international pressure mounting on Monday, the country’s foreign affairs ministry – which is headed by the country’s de facto leader, Aung San Suu Kyi – said it shared global concerns at the displacement and suffering of “all communities” in the latest violence.

The statement failed to mention the Rohingya, who are not a recognised ethnic group in Myanmar, but listed other affected communities in Rakhine state, including other Muslim groups, whose fate it said was “sadly overlooked by the world”.

It added that the security forces had been instructed “to exercise all due restraint and to take full measures to avoid collateral damage and the harming of innocent civilians”.

Human rights violations and other crimes would be addressed “in accordance with the strict norms of justice”, it said.

Q&A

Why hasn't Aung San Suu Kyi condemned anti-Rohingya violence?

When Aung San Suu Kyi was elected to parliament in 2012 there were high hopes that the Nobel peace prize winner would help heal Myanmar's entrenched ethnic divides.

Some defenders at the time tried to argue that she was gagged by temporary political concerns because she had to hold on to the votes of nationalist Buddhists. However, her NLD party won a landslide victory in elections in 2015 and yet she remained conspicuously silent.

She has defended the government that she is part of in response to the recent wave of violence, sparking further widespread condemnation.

Her exact motivations remain opaque but the only thing she obviously stands to lose by speaking out is the support of the military power brokers who still ultimately control Myanmar. The only thing she could obviously hope to gain by her silence is more power and influence.

The latest crackdown against the Muslim minority was triggered on 25 August when a Rohingya insurgent group attacked more than two dozen security sites and killed 12 people.

Militia groups, local security forces and the Burmese army responded with “clearance operations” that have forced refugees into Bangladesh and left tens of thousands more displaced inside the state.

The foreign ministry said the attacks were deliberately timed to sabotage the release of a report by the former UN secretary general Kofi Annan advising on ways to overcome the decades-old tension between the Rohingya and Myanmar’s leaders.

Annan’s report, which also did not name the Rohingya at Aung San Suu Kyi’s request, recommended that the government begin lifting longstanding restrictions on the community’s ability to participate in politics, move freely and gain citizenship.

On Sunday, Bangladesh’s foreign minister accused the Myanmar government of committing genocide against the Rohingya. Analysts said that AH Mahmood Ali’s language was the strongest yet from Myanmar’s neighbour, and reflected intense frustration in Dhaka at the continuing influx of Rohingya refugees.

Over the weekend, the Dalai Lama became the latest Nobel peace prize laureate to speak out about the crisis, telling the Burmese forces involved in attacks on the ethnic Muslim minority to “remember Buddha”.

Ali told diplomats on Sunday that unofficial sources had put the Rohingya death toll from the latest unrest in Rakhine at about 3,000.

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“The international community is saying it is a genocide. We also say it is a genocide,” Ali told reporters in Dhaka. He said the influx of refugees in the past month took the total number of Rohingya in Bangladesh to more than 700,000. “It is now a national problem.”

Ali said about 10,000 homes had been burned in Rakhine state, a figure that cannot be verified as Myanmar has restricted independent access to the state.

In Washington, Donald Trump’s administration broke its silence on the crisis on Monday, but White House spokesperson Sarah Huckabee Sanders did not mention the Rohingya by name and appeared to blame the violence on both sides.

Sanders said: “The United States is deeply troubled by the ongoing crisis in Burma where at least 300,000 people have fled their homes in the wake of attacks on Burmese security posts on 25 August. We reiterate our condemnation of those attacks and the ensuing violence.”

Scores of refugees in Bangladesh have given accounts of arson by Burmese security forces. Human Rights Watch said on Sunday that satellite analysis had shown evidence of fire damage in urban areas populated by Rohingya as well as in isolated villages.

Myanmar says it is targeting armed insurgents, including fighters from the Arakan Rohingya Salvation Army (Arsa), the group which claimed responsibility for the August attacks and reportedly controls small areas of Rakhine.

Arsa, which has been accused of carrying out attacks against Buddhist and Hindu civilians, called for a month-long “humanitarian pause” on Sunday to deal with the refugee crisis. The truce was dismissed by Myanmar authorities, which said they did not negotiate with “terrorists”.

The International Organisation for Migration estimated about 313,000 Rohingya had crossed into Bangladesh by Monday, noting that the influx appeared to be slowing. Many new arrivals were on the move inside Bangladesh and could not be counted, it said.

Rohingya people have been systematically persecuted for decades by the Burmese government, which, contrary to historical evidence, regards them as illegal migrants from Bangladesh and restricts their citizenship rights and access to government services.

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The UN has described earlier security operations as possible “crimes against humanity”, but the scale of the latest violence – and allegations that Burmese forces are mining the border – have led to speculation the military is trying remove the Rohingya from the country for good.

The Dalai Lama spoke about the crisis for the first time on Friday. “Those people who are sort of harassing some Muslims, they should remember Buddha,” he told journalists. “He would definitely give help to those poor Muslims. So still I feel that. So very sad.”

Myanmar’s population is overwhelmingly Buddhist and there is widespread hatred for the Rohingya. Buddhist nationalists, led by firebrand monks, have operated a long Islamophobic campaign calling for them to be pushed out of the country.

Aung San Suu Kyi has been condemned for her refusal to intervene in support of the Rohingya.